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Finding the Third Proportional to 98,881.50 and 204,769.50

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Solution

The third proportional to 98,881.50 and 204,769.50 is: 424,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,881.50 : 204,769.50 = 204,769.50 : x
  2. Step 2: Convert to fraction form
    98,881.50/204,769.50 = 204,769.50/x
  3. Step 3: Cross multiply
    98,881.50x = 204,769.50 × 204,769.50
  4. Step 4: Simplify right side
    98,881.50x = 41,930,548,130.25
  5. Step 5: Solve for x
    x = 41,930,548,130.25/98,881.50
  6. Step 6: Final answer
    x = 424,048.46

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.